Phase Diffusion of a q-Deformed Oscillator

We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phas...

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Main Authors: Turan Birol, Özgür Esat Müstecaplıoğlu
Format: Article
Language:English
Published: MDPI AG 2009-12-01
Series:Symmetry
Subjects:
Online Access:http://www.mdpi.com/2073-8994/1/2/240/
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author Turan Birol
Özgür Esat Müstecaplıoğlu
author_facet Turan Birol
Özgür Esat Müstecaplıoğlu
author_sort Turan Birol
collection DOAJ
description We examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system.
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spelling doaj.art-204202a3d599427db9d48b36c85409cd2022-12-22T03:18:35ZengMDPI AGSymmetry2073-89942009-12-011224025110.3390/sym1020240Phase Diffusion of a q-Deformed OscillatorTuran BirolÖzgür Esat MüstecaplıoğluWe examine the problem of phase diffusion rate in a U(1) global phase symmetry broken system, from the perspective of q-deformed oscillators where the deformation parameter represents the anharmonicity. It is shown that broken phase symmetry states, described by deformed coherent states, suffer phase diffusion at a rate determined by the deformation parameter. Analytical discussions are given for the case of weak deformations, while detailed numerical results are presented when strong anharmonicity is present in the system.http://www.mdpi.com/2073-8994/1/2/240/q-deformed oscillatorphase diffusionsymmetry breaking
spellingShingle Turan Birol
Özgür Esat Müstecaplıoğlu
Phase Diffusion of a q-Deformed Oscillator
Symmetry
q-deformed oscillator
phase diffusion
symmetry breaking
title Phase Diffusion of a q-Deformed Oscillator
title_full Phase Diffusion of a q-Deformed Oscillator
title_fullStr Phase Diffusion of a q-Deformed Oscillator
title_full_unstemmed Phase Diffusion of a q-Deformed Oscillator
title_short Phase Diffusion of a q-Deformed Oscillator
title_sort phase diffusion of a q deformed oscillator
topic q-deformed oscillator
phase diffusion
symmetry breaking
url http://www.mdpi.com/2073-8994/1/2/240/
work_keys_str_mv AT turanbirol phasediffusionofaqdeformedoscillator
AT ozguresatmustecaplıoglu phasediffusionofaqdeformedoscillator